Difference between revisions of "A Portal Special Presentation- Geometric Unity: A First Look"
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A Portal Special Presentation- Geometric Unity: A First Look (view source)
Revision as of 17:17, 25 April 2020
, 17:17, 25 April 2020→Intrinsic Field Content
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===== Intrinsic Field Content ===== | ===== Intrinsic Field Content ===== | ||
<p>[01:21:48] [The] first thing we need to do is we still have the right to choose intrinsic field content. [We] have an intrinsic field theory. So, if you consider the structure bundle of the spinors; we built the chimeric bundle | <p>[01:21:48] [The] first thing we need to do is we still have the right to choose intrinsic field content. [We] have an intrinsic field theory. So, if you consider the structure bundle of the spinors; we built the chimeric bundle, $$C$$, so we can define Dirac spinors on the chimeric bundle, if we're in Euclidean signature. | ||
<p>[01:22:00] A 14-dimensional manifold has Dirac spinors of dimension-two to the dimension of the space divided by two. Right? | <p>[01:22:00] A 14-dimensional manifold has Dirac spinors of dimension-two to the dimension of the space divided by two. Right? | ||
<p>[01:22:20] So $$2^14$$ over $$2^7$$ is $$128$$, so we have a map into a structured group of $$U(128)$$ | <p>[01:22:20] So $$2^{14}$$ over $$2^7$$ is $$128$$, so we have a map into a structured group of $$U(128)$$ | ||
<p>[01:22:36] At least in Euclidean signature. We can get to mixed signatures later. From that, we can form the associated bundle. | <p>[01:22:36] At least in Euclidean signature. We can get to mixed signatures later. From that, we can form the associated bundle, $$\gamma^{\inf}(P_{U_8}) \cross_{ad}\U{$})$$. | ||
<p>[01:22:54] And sections of this bundle are either, depending upon how you want to think about it, the gauge group, $$H$$ or $$\Xi$$, a space of sigma fields. Nonlinear. | <p>[01:22:54] And sections of this bundle are either, depending upon how you want to think about it, the gauge group, $$H$$ or $$\Xi$$, a space of sigma fields. Nonlinear. | ||